I surf natural & I used to skate heaps in my younger days as a goofy foot. Still have a double kick I tic-tac around occasionally, but don't go for ollies or anything these days.
Snowboarded 8 times now & feel comfy either way, but preferred to face the mountain up until my last time in April when I finally felt comfortable turning on my backside & now prefer goofy snowboarding.
Added a longboard to the quiver 2 years ago for the smaller days & started switchfooting a lot over the last year. Considering your generally not figure 8'ing with LB's, switch footing can add another extra element for fun. Especially when waves are only 1/2 way to your knee.
Embrace switchfooting & go with whatever feels natural or fun for you. In the long run it can only benefit you. The first time I thought about it was when I went to a cable ski park. I didn't know which way I should stand & ended up opting for the way that felt most comfortable holding the cable.
With a bit of practice though, although you'll probably prefer standing one way over the other in critical situations. Switchfooting gets easier with practice. Check out the late great Buttons Kaluhiokalani of Hawaii for some epic switchfoot surfing